Information on Result #1722842
Digital (52, 69, 785)-net over F5, using net defined by OOA based on linear OOA(569, 785, F5, 21, 17) (dual of [(785, 21), 16416, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(569, 2356, F5, 3, 17) (dual of [(2356, 3), 6999, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(569, 2358, F5, 3, 17) (dual of [(2358, 3), 7005, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(569, 2358, F5, 17) (dual of [2358, 2289, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(569, 3138, F5, 17) (dual of [3138, 3069, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(53, 13, F5, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(569, 3138, F5, 17) (dual of [3138, 3069, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(569, 2358, F5, 17) (dual of [2358, 2289, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(569, 2358, F5, 3, 17) (dual of [(2358, 3), 7005, 18]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.